Details

Time bar (total: 7.7s)

sample25.0ms

Algorithm
intervals
Results
8.0ms246×body80valid
2.0ms14×body640valid
1.0ms7×body1280valid
1.0ms11×body320valid
1.0ms11×body160valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
14.8b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
12.0ms
(/ (- y x) (- a t))
0.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

series142.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- y x) (- a t))
88.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify60.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune215.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
3.7b
(+ (* (/ (- y x) (- a t)) (- z t)) x)
5.4b
(* (/ (- y x) (- a t)) (- z t))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
97×*-un-lft-identity
51×add-cube-cbrt times-frac
36×prod-diff
31×associate-*l*
23×distribute-lft-out-- difference-of-squares
22×distribute-rgt-in associate-+l+ distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*r* associate-/r* flip-- associate-/l* add-log-exp
4×sub-neg associate-/r/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 170
Calls
3 calls:
14.0ms
(/ (- y x) (- a t))
14.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
34.0ms
(* (/ (- y x) (- a t)) (- z t))

series401.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (- y x) (- a t))
144.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
206.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify74.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06841508
125811283
250031263

prune480.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y x))
1.0b
(* (/ (cbrt (- y x)) (- a t)) (- z t))
1.1b
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) 1) (* (/ (cbrt (- y x)) (- a t)) (- z t)))
8.3b
(+ (* (/ (* (cbrt (- y x)) (cbrt (- y x))) 1) (* (/ (cbrt (- y x)) (- a t)) (- z t))) x)

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
125×add-sqr-sqrt
117×*-un-lft-identity
99×distribute-rgt-in distribute-lft-in
90×prod-diff
87×add-cube-cbrt
66×add-exp-log
53×associate-*l*
45×times-frac
44×associate-+l+
35×add-cbrt-cube
33×prod-exp
31×cbrt-prod
20×cbrt-unprod
18×div-exp
15×distribute-lft-out-- difference-of-squares
11×pow1 frac-times associate-*r/
10×cbrt-undiv sub-neg
8×flip3-- flip--
6×1-exp associate-*r* add-log-exp
4×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u
3×unswap-sqr
2×cbrt-div associate-/r/ *-commutative div-inv
1×+-commutative fma-def flip3-+ pow1/3 sum-log flip-+
Counts
4 → 270
Calls
4 calls:
2.0ms
(cbrt (- y x))
41.0ms
(* (/ (cbrt (- y x)) (- a t)) (- z t))
63.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) 1) (* (/ (cbrt (- y x)) (- a t)) (- z t)))
66.0ms
(+ (* (/ (* (cbrt (- y x)) (cbrt (- y x))) 1) (* (/ (cbrt (- y x)) (- a t)) (- z t))) x)

series1.1s

Counts
4 → 12
Calls
4 calls:
157.0ms
(cbrt (- y x))
543.0ms
(* (/ (cbrt (- y x)) (- a t)) (- z t))
207.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) 1) (* (/ (cbrt (- y x)) (- a t)) (- z t)))
148.0ms
(+ (* (/ (* (cbrt (- y x)) (cbrt (- y x))) 1) (* (/ (cbrt (- y x)) (- a t)) (- z t))) x)

simplify64.0ms

Algorithm
egg-herbie
Counts
282 → 282
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012894507
150023195

prune844.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y x))
0.6b
(cbrt (cbrt (- y x)))
1.1b
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) 1) (* (/ (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt (cbrt (- y x))) (cbrt (- a t))) (- z t))))
8.6b
(+ (* (/ (* (cbrt (- y x)) (cbrt (- y x))) 1) (* (/ (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt (cbrt (- y x))) (cbrt (- a t))) (- z t)))) x)

rewrite530.0ms

Algorithm
rewrite-expression-head
Rules
279×add-exp-log
264×distribute-rgt-in distribute-lft-in
160×prod-exp
144×prod-diff
109×add-sqr-sqrt *-un-lft-identity
105×add-cube-cbrt
101×add-cbrt-cube
94×cbrt-unprod
88×associate-+l+
85×div-exp
47×cbrt-undiv
29×frac-times associate-*r/
20×1-exp
18×cbrt-prod
16×sub-neg
13×pow1
10×flip3-- flip--
7×associate-*l* associate-*l/
6×cbrt-div pow-prod-down add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×times-frac
2×pow1/3 distribute-lft-out-- difference-of-squares
1×+-commutative fma-def flip3-+ associate-*r* sum-log *-commutative flip-+ div-inv
Counts
4 → 351
Calls
4 calls:
2.0ms
(cbrt (- y x))
3.0ms
(cbrt (cbrt (- y x)))
250.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) 1) (* (/ (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt (cbrt (- y x))) (cbrt (- a t))) (- z t))))
248.0ms
(+ (* (/ (* (cbrt (- y x)) (cbrt (- y x))) 1) (* (/ (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt (cbrt (- y x))) (cbrt (- a t))) (- z t)))) x)

series682.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (- y x))
161.0ms
(cbrt (cbrt (- y x)))
212.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) 1) (* (/ (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt (cbrt (- y x))) (cbrt (- a t))) (- z t))))
153.0ms
(+ (* (/ (* (cbrt (- y x)) (cbrt (- y x))) 1) (* (/ (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt (cbrt (- y x))) (cbrt (- a t))) (- z t)))) x)

simplify138.0ms

Algorithm
egg-herbie
Counts
363 → 363
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
0230513502
1500111578

prune1.5s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 7.0b

regimes414.0ms

Accuracy

0% (6.0b remaining)

Error of 12.7b against oracle of 6.7b and baseline of 12.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02528
12528

end0.0ms

sample706.0ms

Algorithm
intervals
Results
249.0ms7738×body80valid
66.0ms502×body640valid
43.0ms268×body1280valid
43.0ms442×body320valid
20.0ms277×body160valid
3.0ms14×body2560valid